Back to Search
Start Over
Lippmann-Schwinger theory for two-dimensional plasmon scattering
- Source :
- Phys. Rev. B 96, 035433 (2017)
- Publication Year :
- 2017
-
Abstract
- Long-lived and ultra-confined plasmons in two-dimensional (2D) electron systems may provide a sub-wavelength diagnostic tool to investigate localized dielectric, electromagnetic, and pseudo-electromagnetic perturbations. In this Article, we present a general theoretical framework to study the scattering of 2D plasmons against such perturbations in the non-retarded limit. We discuss both parabolic-band and massless Dirac fermion 2D electron systems. Our theory starts from a Lippmann-Schwinger equation for the screened potential in an inhomogeneous 2D electron system and utilizes as inputs analytical long-wavelength expressions for the density-density response function, going beyond the local approximation. We present illustrative results for the scattering of 2D plasmons against a point-like charged impurity and a one-dimensional electrostatic barrier due to a line of charges. Exact numerical results obtained from the solution of the Lippmann-Schwinger equation are compared with approximate results based on the Born and eikonal approximations. The importance of nonlocal effects is finally emphasized.<br />Comment: 23 pages, 8 multi-panel figures
- Subjects :
- Condensed Matter - Mesoscale and Nanoscale Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 96, 035433 (2017)
- Publication Type :
- Report
- Accession number :
- edsarx.1702.04925
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.96.035433